Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248bu |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1023086592 = 212 · 33 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-473,-3495] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:16:1] |
Generators of the group modulo torsion |
j |
2863288000/249777 |
j-invariant |
L |
3.3573155696935 |
L(r)(E,1)/r! |
Ω |
1.0292431759396 |
Real period |
R |
1.6309632398403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248ca1 30624e1 |
Quadratic twists by: -4 8 |